| Exam Board | AQA |
|---|---|
| Module | Paper 2 (Paper 2) |
| Session | Specimen |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Generalised Binomial Theorem |
| Type | State validity only |
| Difficulty | Easy -1.8 This is a straightforward recall question worth 1 mark requiring only knowledge of the validity condition for binomial expansion: |x/a| < 1 when expanding (a + x)^n. Students simply need to identify that |2x/3| < 1 gives |x| < 3/2, with the answer provided in multiple-choice format requiring no working. |
| Spec | 1.04c Extend binomial expansion: rational n, |x|<11.04d Binomial expansion validity: convergence conditions |
| Answer | Marks | Guidance |
|---|---|---|
| 1 | Circles correct answer | AO1.1b |
| Answer | Marks |
|---|---|
| Total | 1 |
Question 1:
1 | Circles correct answer | AO1.1b | B1 | 3
x
2
Total | 1State the values of $|x|$ for which the binomial expansion of $(3 + 2x)^{-4}$ is valid.
Circle your answer.
[1 mark]
$|x| < \frac{2}{3}$ $\quad$ $|x| < 1$ $\quad$ $|x| < \frac{3}{2}$ $\quad$ $|x| < 3$
\hfill \mbox{\textit{AQA Paper 2 Q1 [1]}}